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Simplifying -13 + -7n = -1(6n + -2) + 4n Reorder the terms: -13 + -7n = -1(-2 + 6n) + 4n -13 + -7n = (-2 * -1 + 6n * -1) + 4n -13 + -7n = (2 + -6n) + 4n Combine like terms: -6n + 4n = -2n -13 + -7n = 2 + -2n Solving -13 + -7n = 2 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -13 + -7n + 2n = 2 + -2n + 2n Combine like terms: -7n + 2n = -5n -13 + -5n = 2 + -2n + 2n Combine like terms: -2n + 2n = 0 -13 + -5n = 2 + 0 -13 + -5n = 2 Add '13' to each side of the equation. -13 + 13 + -5n = 2 + 13 Combine like terms: -13 + 13 = 0 0 + -5n = 2 + 13 -5n = 2 + 13 Combine like terms: 2 + 13 = 15 -5n = 15 Divide each side by '-5'. n = -3 Simplifying n = -3
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